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Finding the Third Proportional to 3,125,025,075 and 6,679,828,206

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Solution

The third proportional to 3,125,025,075 and 6,679,828,206 is: 14,278,318,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125,025,075 : 6,679,828,206 = 6,679,828,206 : x
  2. Step 2: Convert to fraction form
    3,125,025,075/6,679,828,206 = 6,679,828,206/x
  3. Step 3: Cross multiply
    3,125,025,075x = 6,679,828,206 × 6,679,828,206
  4. Step 4: Simplify right side
    3,125,025,075x = 44,620,104,861,673,177,088
  5. Step 5: Solve for x
    x = 44,620,104,861,673,177,088/3,125,025,075
  6. Step 6: Final answer
    x = 14,278,318,986.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.